%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT031-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:36:46 PM UTC 2026
% Result : Unsatisfiable 0.17s 1.70s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f720,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X4,X0)),X1),c_FuncSet_OPi(X5,c_COMBK(X3,tc_fun(X0,tc_bool),X4),X4,X0)))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
| hBOOL(hAPP(hAPP(c_in(X0),hAPP(X1,X2)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_funcset__mem_0) ).
fof(f746,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f747,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f748,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f798,plain,
$false,
inference(unit_resulting_resolution,[],[f720,f747,f746,f748]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT031-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 23:30:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/1.70 % (2526985)Input is clausal, will run a generic CNF schedule.
% 0.17/1.70 % (2526992)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1172444475:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.17/1.70 % (2526993)lrs+10_1_sil=8000:sp=occurrence:random_seed=3667034200:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.17/1.70 % (2526994)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=380045525:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.17/1.70 % (2526990)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3051942573:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.17/1.70 % (2526991)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3019997216:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.17/1.70 % (2526995)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2705826026:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.17/1.70 % (2526996)dis-21_1_sil=8000:lcm=predicate:random_seed=2633015749:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.17/1.70 % (2526996)Instruction limit reached!
% 0.17/1.70 % (2526996)------------------------------
% 0.17/1.70 % (2526996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2526996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2526996)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2526996)Termination reason: Instruction limit
% 0.17/1.70 % (2526996)Termination phase: Saturation
% 0.17/1.70 % (2526996)Time elapsed: 0.067 s
% 0.17/1.70 % (2526996)Peak memory usage: 89 MB
% 0.17/1.70 % (2526996)Instructions burned: 117 (million)
% 0.17/1.70 % (2526993)Instruction limit reached!
% 0.17/1.70 % (2526993)------------------------------
% 0.17/1.70 % (2526993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2526993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2526993)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2526993)Termination reason: Instruction limit
% 0.17/1.70 % (2526993)Termination phase: Saturation
% 0.17/1.70 % (2526993)Time elapsed: 0.075 s
% 0.17/1.70 % (2526993)Peak memory usage: 89 MB
% 0.17/1.70 % (2526993)Instructions burned: 108 (million)
% 0.17/1.70 % (2526994)Instruction limit reached!
% 0.17/1.70 % (2526994)------------------------------
% 0.17/1.70 % (2526994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2526994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2526994)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2526994)Termination reason: Instruction limit
% 0.17/1.70 % (2526994)Termination phase: Saturation
% 0.17/1.70 % (2526994)Time elapsed: 0.077 s
% 0.17/1.70 % (2526994)Peak memory usage: 89 MB
% 0.17/1.70 % (2526994)Instructions burned: 114 (million)
% 0.17/1.70 % (2526995)Instruction limit reached!
% 0.17/1.70 % (2526995)------------------------------
% 0.17/1.70 % (2526995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2526995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2526995)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2526995)Termination reason: Instruction limit
% 0.17/1.70 % (2526995)Termination phase: Saturation
% 0.17/1.70 % (2526995)Time elapsed: 0.113 s
% 0.17/1.70 % (2526995)Peak memory usage: 89 MB
% 0.17/1.70 % (2526995)Instructions burned: 181 (million)
% 0.17/1.70 % (2527004)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4267110485:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.17/1.70 % (2527006)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3312767013:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.17/1.70 % (2527005)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1943687810:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 0.17/1.70 % (2527004)Refutation not found, incomplete strategy
% 0.17/1.70 % (2527004)------------------------------
% 0.17/1.70 % (2527004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2527004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2527004)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2527004)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.70 % (2527004)Time elapsed: 0.004 s
% 0.17/1.70 % (2527004)Peak memory usage: 88 MB
% 0.17/1.70 % (2527004)Instructions burned: 5 (million)
% 0.17/1.70 % (2527005)First to succeed.
% 0.17/1.70 % (2527005)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2526985"
% 0.17/1.70 % (2527007)lrs+10_64_to=lpo:sil=8000:random_seed=403676496:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 0.17/1.70 % (2527007)Instruction limit reached!
% 0.17/1.70 % (2527007)------------------------------
% 0.17/1.70 % (2527007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2527007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2527007)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2527007)Termination reason: Instruction limit
% 0.17/1.70 % (2527007)Termination phase: Saturation
% 0.17/1.70 % (2527007)Time elapsed: 0.077 s
% 0.17/1.70 % (2527007)Peak memory usage: 89 MB
% 0.17/1.70 % (2527007)Instructions burned: 127 (million)
% 0.17/1.70 % (2527006)Instruction limit reached!
% 0.17/1.70 % (2527006)------------------------------
% 0.17/1.70 % (2527006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2527006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2527006)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2527006)Termination reason: Instruction limit
% 0.17/1.70 % (2527006)Termination phase: Saturation
% 0.17/1.70 % (2527006)Time elapsed: 0.134 s
% 0.17/1.70 % (2527006)Peak memory usage: 90 MB
% 0.17/1.70 % (2527006)Instructions burned: 220 (million)
% 0.17/1.70 % (2527012)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4057673122:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 0.17/1.70 % (2527004)------------------------------
% 0.17/1.70 % (2527004)------------------------------
% 0.17/1.70 % (2527013)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2392211107:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 0.17/1.70 % (2527005)Refutation found. Thanks to Tanya!
% 0.17/1.70 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.70 % (2527005)------------------------------
% 0.17/1.70 % (2527005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2527005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2527005)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2527005)Termination reason: Refutation
% 0.17/1.70 % (2527005)Time elapsed: 0.023 s
% 0.17/1.70 % (2527005)Peak memory usage: 89 MB
% 0.17/1.70 % (2527005)Instructions burned: 40 (million)
% 0.17/1.70 % (2527005)------------------------------
% 0.17/1.70 % (2527005)------------------------------
% 0.17/1.70 % (2526985)Success in time 0.662 s
% 0.17/1.70 % Vampire exiting
%------------------------------------------------------------------------------